Earth dams exhibit complex behaviors under various loads and the daily increasing development of the earth dams has made researchers more accurately investigate the soil's mechanical properties including the stress-strain relations and related stress paths. The present study takes advantage of a Multi-Laminate theory to achieve a model that is capable of predicting crack propagation in earth dams on every arbitrary path. The numerical analysis is conducted herein using the finite element method through taking 17 micro scale planes into account. It is by the use of a Multi-Line pattern within the format Multi-Laminate theory for a point in drainage mode that the materials' behaviors have been predicted with a maximum error rate of 13%. It was made clear in this mode that the failure is highly likely to occur on planes 14, 15, 16 and 17 followed by planes 1, 2, 3, 4, 5, 6, 7 and 8that are deemed active, respectively. In normal stress states of the strain, planes 9, 10, 11, 12 and 13 were also found active besides the abovementioned planes.